Beyond Pythagoras Investigation In this investigation, I am trying to find the rules and patterns for right-angled triangles. Each length of the right-angle triangle is going to be a positive integer, and the shortest length is going to be an odd number. Below is a typical type of a Pythagoras triple equation: [IMAGE] Formula:a² + b² = c² 3² + 4² = 5² 9 + 16 = 25 In this equation, the first step I took was to put the numbers instead of the letters. Once I did that I squared
Beyond Pythagoras - Mathematical Investigation 1) Do both 5, 12, 13 and 7, 24, 25 satisfy a similar condition of : (Smallest number)² + (Middle Number)² = (Largest Number) ² ? 5, 12, 13 Smallest number 5² = 5 x 5 = 25 Middle Number 12² = 12 x 12 = 144+ 169 Largest Number 13² = 13 x 13 = 169 7, 24, 25 Smallest number 7² = 7 x 7 = 49 Middle Number 24² = 24 x 24 = 576+ 625 Largest Number 25² = 25 x 25 = 625 Yes, each set of numbers does satisfy the condition.
Beyond Pythagoras Math Investigation Pythagoras Theorem: Pythagoras states that in any right angled triangle of sides 'a', 'b' and 'c' (a being the shortest side, c the hypotenuse): a2 + b2 = c2 [IMAGE] E.g. 1. 32 + 42= 52 9 + 16 = 25 52 = 25 2. 52+ 122= 132 3. 72 + 242 = 252 25 + 144 = 169 49 + 576 = 625 132 = 169 252 = 625 All the above examples are using an odd number for 'a'. It can however, work with an even number. E.g. 1. 102 + 242= 262 100 + 576 =
are said to be made with a great amount of dignity, as well as responsibility and authority over everything else. According to the Bible, there is no such thing as a separate soul, which is in opposition to the pre-Socratic notion, held mostly by Pythagoras, that the body and soul are independent of each other. Overall, the Bible seems to place faith over reason, while the pre-Socratics place rationale above faith. The pre-Socratic views can be regarded as natural philosophy, whereas the Bible's are
Reference Center. Web. 15 Apr. 2014. Migiore, Celestino. "International convention against the reproductive cloning of human beings." International convention against the reproductive cloning of human beings. N.p., 21 Oct. 2004. Web. 12 Apr. 2014. "Pythagoras." Columbia Electronic Encyclopedia, 6Th Edition (2013): 1. Literary Reference Center. Web. 15 Apr. 2014. Robbinson, B.. "Animals in Research and Testing | Animal Use in Research." Animals in Research and Testing | Animal Use in Research. N.p.
include wild west rangers capturing bandits, superheroes defeating villains, and parents saving their children from nightmares. Today, common people who accomplish a great feat are often elevated to the status of a hero. They are worshiped and praised beyond the point most mortal human being experience. The Iliad is the archetype for this theme. It tells stories of Achilles, the Greek hero from the 7-8th century BCE and his heroism in the Trojan War. These stories caught particular interest from the Greek
is not, however. A rich man must use his wealth well in order to appear good. In Pythian 1.90 Pindar advises those who wish to be thought of in good repute to make full use of their wealth: eÃ per ti... ... middle of paper ... ... flies beyond hope on the wings of his manliness, with ambitions that are greater than wealth.  If indeed the watchers of Olympus ever honoured a mortal man, that man was Tantalus.  C. M. Bowra, Pindar chp. IV.  For in wrestling you follow in
Mystery Cults Mystery cults greatly influenced the development of Pythagoreanism as Pythagoreans adopted many of their traditions, behaviors and beliefs. Pythagoras, the founder of the Pythagoreans, established a school in which he developed and taught these adopted cultural behaviors and beliefs. "The nature of daily living in the school, both its moral and its intellectual disciplines, can perhaps best be understood as an intellectualized development from earlier mystery cults such as the
our calendars on to this present day (Spangenburg 5). Most important to this discussion of the origins of modern physics is the fact that some ancient Babylonian math tablets show that the Babylonians had ideas about Pythagoras’ Theorem one-thousand years before Pythagoras lived. Archeological evidence certainly supports that physics as an intelligent, scientific study of matter and energy dates back to the earliest existences of human civilization. As long as human beings have been
is a person whose main area of study is mathematics. Mathematicians concern themselves with logic, transformations, numbers and general ideas which encompass these concepts. Notable mathematicians include Archimedes, Descartes, Fibonacci, Pascal, Pythagoras, Einstein, Stokes, Sir Isaac Newton, and Riemann. Scientists who research other fields are also considered mathematicians, but only if their research provides insights into mathematics- one example being Isaac Newton. Some mathematicians may even